1.

An object of mass m is performing simple harmonic motion on a smooth horizontal surface as shown in figure. Just as the oscillating object reaches its extreme position, another object of mass 2m is dropped on it, which sticks to it. For this situation, mark out the correct statement(s).

Answer»

AMPLITUDE of oscillation REMAINS unchanged.
Time period of oscillation remains unchanged.
The TOTAL mechanical energy of the system does not change.
The maximum speed of the oscillating object changes.

Solution :Period of oscillation changes as it depends on mass and becomes 3 times. The amplitude of oscillation does not change, because the new object is attached when the original object is at rest. Total energy does not change as at extreme position, the energy is in the form of potential energy STORED in spring which is independent of mass, and HENCE maximum, K.E. also does not change but as mass changes the maximum speed changes.


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